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Critical Dynamics of Gelation | | Kurt Broderix
; Henning Loewe
; Peter Mueller
; Annette Zippelius
; | | Date: |
6 Jul 2000 | | Journal: | Phys. Rev. E, vol. 63, 011510 (2001) | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks; Soft Condensed Matter; Chemical Physics | cond-mat.stat-mech cond-mat.dis-nn cond-mat.soft physics.chem-ph | | Abstract: | Shear relaxation and dynamic density fluctuations are studied within a Rouse model, generalized to include the effects of permanent random crosslinks. We derive an exact correspondence between the static shear viscosity and the resistance of a random resistor network. This relation allows us to compute the static shear viscosity exactly for uncorrelated crosslinks. For more general percolation models, which are amenable to a scaling description, it yields the scaling relation $ k=phi-eta$ for the critical exponent of the shear viscosity. Here $eta$ is the thermal exponent for the gel fraction and $phi$ is the crossover exponent of the resistor network. The results on the shear viscosity are also used in deriving upper and lower bounds on the incoherent scattering function in the long-time limit, thereby corroborating previous results. | | Source: | arXiv, cond-mat/0007088 | | Services: | Forum | Review | PDF | Favorites | |
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